149243142400 has 243 divisors, whose sum is σ = 406961832333. Its totient is φ = 54146611200.

The previous prime is 149243142383. The next prime is 149243142401. The reversal of 149243142400 is 4241342941.

The square root of 149243142400 is 386320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53727531264 + 95515611136 = 231792^2 + 309056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149243142401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339961381 + ... + 339961819.

Almost surely, 2^149243142400 is an apocalyptic number.

149243142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149243142400 is the 386320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149243142400

149243142400 is an abundant number, since it is smaller than the sum of its proper divisors (257718689933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149243142400 is an frugal number, since it uses more digits than its factorization.

149243142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 149243142400 in words is "one hundred forty-nine billion, two hundred forty-three million, one hundred forty-two thousand, four hundred".